All categories

3 years ago

Daury's cab company charges Katherine a $14 boarding rate in addition to

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Answer: $\bold{15\dfrac{1}{3}\ \text{miles}}$

Step-by-step explanation:

Use the equation y = mx + b

y: total bill
m: rate (fee per mile)
x: number of miles
b: flat rate

60 = 3x + 14

46 = 3x

$\dfrac{46}{3}=\dfrac{3x}{3}\\\\\\\large\boxed{15\ \dfrac{1}{3}=x}$

You might be interested in

Make b the subject of the formula P=2a+b

Gelneren [198K]

In order to make b the subject of this equation, we must isolate it on the left side. We can do this by following these steps:

$P = 2a+b$

Subtract b from both sides

$P - b = 2a+b-b$

$P-b=2a$

Subtract P from both sides

$P-b-P=2a-P$

$-b=2a-P$

Now, we have isolated b, but it is negative. We can fix this by multiplying both sides of the equation by -1.

$-(-b)=-(2a-P)$

$b=-2a+P$

Which is your final answer.
$b = -2a+P$ .
Hope that helped! =)

5 0

3 years ago

Read 2 more answers

Area of the circle attachment below

Galina-37 [17]

Answer:

Area of the circle = 49 π cm² = 153.86cm²

Step-by-step explanation:

Given that the diameter of the circle

d = 14

The radius of the circle

$r = \frac{d}{2} = \frac{14}{2} = 7$

Area of the circle

A = πr²

A = 3.14 ×(7)²

A = 153.86 cm²

4 0

3 years ago

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1

ELEN [110]

Step-by-step explanation:

Simplify the following:

(((-3)/4)^5)^2

Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):

((-3)/4)^(5×2)

5×2 = 10:

((-3)/4)^10

((-3)/4)^10 = (-3)^10/4^10:

(-3)^10/4^10

(-3)^10 = (-1)^10×3^10 = 1×3^10:

3^10/4^10

4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:

3^10/(4 (4^2)^2)^2

4^2 = 16:

3^10/(4×16^2)^2

3^10/(4×256)^2

4×256 = 1024:

3^10/1024^2

3^10/1048576

Answer=3^10 / 2^20

5 0

3 years ago

A football stadium has 9,607 seats. At one game, people sat in 7,599 of the seats. How many seats were empty? What is the total

Mila [183]

9607-7599= 2008

So there are 9607 seats

7599 were full

Then that leaves 2008 seats empty

7 0

3 years ago

I need the to 3n+5=23

Zina [86]

3n+5=23

3n+5 - 5=23 - 5

3n = 18

3n/3 = 18/3

n = 6

7 0

3 years ago

Read 2 more answers